On the relationship between two models of neural entrainment

A comparison is established between the two models of neural entrainment proposed by Nagumo and Sato (1972) and by Torras (1986). Both are formulated in terms of a transition equation whose solutions of period m correspond to the different (m:r)-entrainment patterns. The existence of a transformation relating both transition equations implies the equivalence between stable entrainment for the former model and unstable entrainment for the latter one. However, there is no counterpart for the stable entrainment arising in Torras' model.